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aalyn [17]
2 years ago
14

A sphere is inscribed inside a cube with edges of 6 cm. In cubic centimeters, what is the volume of the sphere in terms of ?

Mathematics
1 answer:
masya89 [10]2 years ago
7 0
V = 4πr³/3
Substituting,
V = (4/3)π(3 cm)³
V = 36π cm³
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A circle is centered at the point (7,1) and passes through the point (8,7). what is the radius
Scorpion4ik [409]
Easy

the radius is the distance from the center to a point on the circle

we are given
center=(7,1)
 a point=(8,7)
find the distance
distance formula
D=\sqrt{(x2-x1)^2+(y2-y1)^2}

so the distance between point and center is radius
D=\sqrt{(8-7)^2+(7-1)^2}
D=\sqrt{(1)^2+(6)^2}
D=\sqrt{1+36}
D=√37 units


radius is √37 units
7 0
3 years ago
75% as a fraction in simplest form
shepuryov [24]

Answer:

3/4

Step-by-step explanation:

7 0
3 years ago
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Given: BD bisects ABC. Auxiliary EA is drawn such that AE || BD. Auxiliary BE is an extension of BC
AnnZ [28]
The required proof is given in the table below:

\begin{tabular}{|p{4cm}|p{6cm}|} 
 Statement & Reason \\ [1ex] 
1. $\overline{BD}$ bisects $\angle ABC$ & 1. Given \\
2. \angle DBC\cong\angle ABD & 2. De(finition of angle bisector \\ 
3. $\overline{AE}$||$\overline{BD}$ & 3. Given \\ 
4. \angle AEB\cong\angle DBC & 4. Corresponding angles \\
5. \angle AEB\cong\angle ABD & 5. Transitive property of equality \\ 
6. \angle ABD\cong\angle BAE & 6. Alternate angles
\end{tabular}
\begin{tabular}{|p{4cm}|p{6cm}|}
7. \angle AEB\cong\angle BAE & 7. Transitive property of equality \\
8. \overline{EB}\cong\overline{AB} & 8. From 7. $\Delta ABE$ is isosceles \\
9. EB = AB & 9. De(finition of congruence \\ 10. $\frac{AD}{DC}=\frac{EB}{BC}$ & 10. Triangle proportionality theorem \\
11. $\frac{AD}{DC}=\frac{AB}{BC}$ & 11. Substitution Property of equality \\[1ex] 
\end{tabular}

7 0
3 years ago
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Write an expression for " 9 less than three times a number"
hoa [83]

Answer: 3x - 9

Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.

8 0
3 years ago
A circular parachute used in a school gym has a radius of 6 feet what is this circumference, in feet, of the parachute?
melomori [17]
The formula to find the circumference is C=2pi(r). Just multiple 2 time 3.14 times six(the radius). You should get 37.68 ft for your answer
7 0
3 years ago
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